IJPAM: Volume 61, No. 1 (2010)
RANKS OF SUBVARIETIES OF
OVER NON-ALGEBRICALLY CLOSED FIELDS

OVER NON-ALGEBRICALLY CLOSED FIELDS
E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]
Abstract.Here we define the symmetric tensor rank over a non-algebraically closed field with respect to a subvariety
. We compute it when
is a rational normal curve.
Received: December 9, 2009
AMS Subject Classification: 14N05
Key Words and Phrases: rank, rational normal curve, symmetric tensor rank
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 61
Issue: 1